λ
Sequence Observatory

1,703,962

2 × 13 × 65537
Deficient Even Composite

Starting at 1,703,962, the Collatz iteration reaches 1 after 83 steps. The first transition is 851981; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 65537
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,752,596
Proper Divisor Sum 1,048,634
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1703957 ← → #1703963

Radix Representation

Decimal 1703962
Binary 110100000000000011010 (21 bits)
Octal 0o6400032
Hexadecimal 0x1A001A

Divisor Catalog (8)

1 2 13 26 65,537 131,074 851,981 1,703,962

Collatz Trajectory (83 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,703,962 851,981 2,555,944 1,277,972 638,986 319,493 958,480 479,240 239,620 119,810 59,905 179,716 89,858 44,929 134,788 67,394 33,697 101,092 50,546 25,273 75,820 37,910 18,955 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304

More profiles

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